Search for related-key differential characteristics in DES-like ciphers

  • Authors:
  • Alex Biryukov;Ivica Nikolić

  • Affiliations:
  • University of Luxembourg;University of Luxembourg

  • Venue:
  • FSE'11 Proceedings of the 18th international conference on Fast software encryption
  • Year:
  • 2011

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Abstract

We present the first automatic search algorithms for the best related-key differential characteristics in DES-like ciphers. We show that instead of brute-forcing the space of all possible differences in the master key and the plaintext, it is computationally more efficient to try only a reduced set of input-output differences of three consecutive S-box layers. Based on this observation, we propose two search algorithms - the first explores Matsui's approach, while the second is divide-and-conquer technique. Using our algorithms, we find the probabilities (or the upper bounds on the probabilities) of the best related-key characteristics in DES, DESL, and s2DES.